Intersections of orbits of self‐maps with subgroups in semiabelian varieties

DOI10.1112/blms.12964arXiv2210.03152MaRDI QIDQ6190528

Jason P. Bell, Dragos Ghioca

Publication date: 5 March 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.03152

Mathematics Subject Classification ID

Subvarieties of abelian varieties (14K12) Arithmetic dynamics on general algebraic varieties (37P55)

Cites Work

• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Finiteness theorems for abelian varieties over number fields.
• The dynamical Mordell-Lang problem for Noetherian spaces
• Division points on semi-abelian varieties
• Integral points on subvarieties of semiabelian varieties. I
• Periods of rational maps modulo primes
• Rational dynamical systems, \(S\)-units, and \(D\)-finite power series
• Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
• A note on recurring series
• A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic
• The Dynamical Mordell–Lang Conjecture
• Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
• The dynamical Mordell-Lang problem for etale maps
• The isotrivial case in the Mordell-Lang Theorem
• Integral Points on Subvarieties of Semiabelian Varieties, II
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES
• THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
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